https://doi.org/10.1140/epjc/s10052-024-12447-9
Regular Article - Theoretical Physics
The null circular geodesic outside the spherically symmetric asymptotically flat hairy black hole is not stable
Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, North Cyprus via Mersin 10, Türkiye
Received:
11
December
2023
Accepted:
12
January
2024
Published online:
25
January
2024
In this study, we explicitly prove that the null circular orbit outside the spherically symmetric asymptotically flat hairy black hole is not stable. Although, if there is more than one external light ring at least one of them is stable. The existence of such geodesics has been proved in the recent work of Hod as well as Peng whereas its stability was left uncommented.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
